Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545bj |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
855360 |
Modular degree for the optimal curve |
Δ |
-18209870149092795 = -1 · 311 · 5 · 197 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- -1 5 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-41635,-7283339] |
[a1,a2,a3,a4,a6] |
j |
-169663430656/387066195 |
j-invariant |
L |
3.4369859221596 |
L(r)(E,1)/r! |
Ω |
0.15622662229542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6555f1 |
Quadratic twists by: -19 |